Parameters Estimation in a Mixture of TwoModified Agarwal and Kalla's Distributions

Abstract

In this paper we introduced a new distribution model defined by a mixture of
two modified Agarwal and Kalla generalized gamma distributions. Its possible
application in reliability is to study simultaneously both problems; the two types of
failures and the displacement phenomenon. Moment and maximum likelihood
methods were used to estimate the parameters of this distribution model, the nonlinear
systems obtained by these two methods are solved numerically using Newton-
Raphson iterative technique.